Direction: Differentiate each function with respect to x. 4) f(x)= 4x-5x-3 5) y= 3x 6)

Q: Solve the differential equation. Show your complete and clean solutions. 2 (x-y) dx + dy = 0

A: The given DE is: 2(x-y)dx+dy=0⇒dydx=-2(x-y)⇒dydx=-2x+2y⇒dydx-2y=-2x...(1)

Q: Select the graph of the function. f(x)=

A: Given:

Q: Find the derivative of y = 4x 2 Be sure to include parentheses around the arguments of any…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Set up the definite integral required to find the area of the region between the graph of y = x y =…

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Q: The functiof(x) and it’s first and second derivative are given: A) Domain of f(x) B)y intercept is…

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Q: ve the given ODE using Laplace Transform a. y" – 4y' + 3y = 6t – 8 ; y(0) = 0, y'(0) = 0 -

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Q: x4/3' dx -1 | --

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Q: Assume that x, y, and c are positive numbers. Use the properties of logarithms to write the…

A: Given :logc5xy

Q: 5,7 4.6 Find the four second-order partial derivatives for f(x, y) = 3x°y' +5xy "y %3D "yy

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Q: the bot test to determine it the use tollowing series converges or diverges

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Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: Solve the system of differential equation if two connected tanks as tank-1 contains 800 gal of water…

A: We have demonstrated the given information for the ease of better understanding  Let us assume that…

Q: Eind three nocit Pumborg uhece Cum is 100 ond whece produet is mum

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Q: Sketch the region enclosed by y = e*", y = e", and x = 1. Find the area of the region.

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Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

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Q: 4. (3a* +23a +10a -21a+58)÷(a+7)

A: Given that,    3a4+23a3+10a2-21a+58÷a+7

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X - 2 2- a. Find lim f(x) or…

A: Given query is to find the Indicated limit.

Q: Predict the general term, or nth term, an, of the sequence. - 12, 36, - 108, 324, - 972, ... an…

A: Here we have to find the general term.

Q: b)Let f(x)= 2(x-4)(x+1)/(x-1)(x-3) 1.find all the intercepts 2.Calculate and write the equations of…

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Q: Suppose that R is the finite region bounded by y = 1, y = 1 +1, 1 = 0, and I = 3. %3D Find the exact…

A: Here R is the finite region bounded by y=x, y=x+1, x=0, and x=3.   We have to find the exact value…

Q: Solve: (2x cosy + 3x y) dæ + (x – a? sin y – y) dy = 0 O 2x cos y + 2x2y-y = C O x3 cos y + x?y-y =…

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Q: 2. Let g (x) = x e. Let R be the region bounded by y a. Find the area of R. Show your work in…

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Q: Jse a graphing calculator to construct a table of values and a graph for the first 10 terms of the…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. (for saddle points,…

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Q: rst choose the method you propose to use: O Apply Stokes theorem n arametrize th e surface and work…

A: answer is in next step

Q: The functiof(x) and it’s first and second derivative are given: A) Domain of f(x) B)y intercept is…

A: Solution: f(x)=x-2x3 a) Domain :  take the denominator and compare it to zero x3 =0 => x=0

Q: HA use the Ratio test to determine it the tollowing series Converyo absolately of diverges

A:

Q: Given the vector field F = (z,x, y), calculate the flux of the curl of F through the portion of the…

A: Given

Q: Consider the functions below. f(z) = VT – I g(z) = r² +1 Find each of the following, if possible.…

A: Given query is to find indicated composite function.

Q: average rate of change

A:

Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(6, 2, 5) (a) Find a nonzero vector orthogonal…

A: We need to solve plane problem.

Q: Find the cost function if the marginal cost function is given by C'(x)=x 1/2 + 5 and 9 units cost…

A: The marginal cost function is given by,   C'x=x12+5

Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

Q: Find T(t) and N(t) at the given point. r(t) = 5 cos(t)i + 5 sin(t)j + tk; t = T()= NG) II

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: This question can be solved using the concept of compound interest.

Q: 北13 find the the Value an equation Curve at the Value for the line tangent to Point defined by of t.…

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Q: 2x + x² _ 4×-1 X-1

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x - c² and y = c – a is 60…

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Q: The population P of a culture of bacteria is described by the equation P = 1300e0.0527 where t is…

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Q: Find the exponential model y = ae bx that fits the points shown in the table. 3 y 6. 1.5 y = 2e°…

A: In the given problem we input the value of x and get the value of 'a' & 'b' with the help of…

Q: The population P of a bacteria culture is modeled by P = 4100e“, where t is the time in hours. If…

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Q: Evaluate the indefinite integral sin? v cos" vdv =

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Q: 2y²e»* dx + 2xyey° dy = 0

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Q: Find the first term and the common difference. 3 7 9. 2, - - 2' 4 ... 4 a, =], d=D %3D (Simplify…

A: Given query is to find the first term and common difference.

Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

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Q: If + y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: We have to find the derivative

Q: a. -25 -5 b. -40 3. с. 40 0 d. 25 13. A bug is moving with velocity v(t)=t - 6t +8 for t2 0. Find…

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Q: Determine the principal P that must be invested at rate r= 3%, compounded monthly, so that $500,000…

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Q: SOLVE THE EQUATION. SHOW YOUR COMPLETE ANDCLEAN SOLUTION. (x – 2y + 5) dx - [2 (x – 2y) + 9] dy = 0…

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Q: |Approximate the area between the curve below and the r-axis by computing Le on the interval [3,…

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